Theory of Graph
A graph says how the dependent quantity changes its value with respect to change in vol of independent quantity (variable/parameter).
Information that we obtain from the graph.
- Pattern of dependency of one variable on other variable.
- The nature of dependency, i.e. how a variable in changing with other variable.
- The rate of change of one variable to other variable at any point.
- The extreme values of dependent variable.
- From a graph of a function, we can obtain domain, range, nature, period, etc. of the function.
Domain is the value on X-axis associated with graph.
Range is the value on Y-axis associated with graph.
Use of application of derivatives in Graph Theory
Use of application of derivatives in Graph Theory
Application of “rate of change” in Physics:
To find the “slope of tangent” to the curve:
Line joining two points on the curve is called chord.
If P1 & P2 become closer and closer together, then at a point P1, P1 & P2 will become adjacent point and then the chord will be known as tangent.
